Problem: Boboniu gives you

  * r red balls, 
  * g green balls, 
  * b blue balls, 
  * w white balls. 



He allows you to do the following operation as many times as you want: 

  * Pick a red ball, a green ball, and a blue ball and then change their color to white. 



You should answer if it's possible to arrange all the balls into a palindrome after several (possibly zero) number of described operations. 

Input

The first line contains one integer T (1≤ T≤ 100) denoting the number of test cases.

For each of the next T cases, the first line contains four integers r, g, b and w (0≤ r,g,b,w≤ 10^9).

Output

For each test case, print "Yes" if it's possible to arrange all the balls into a palindrome after doing several (possibly zero) number of described operations. Otherwise, print "No".

Example

Input


4
0 1 1 1
8 1 9 3
0 0 0 0
1000000000 1000000000 1000000000 1000000000


Output


No
Yes
Yes
Yes

Note

In the first test case, you're not able to do any operation and you can never arrange three balls of distinct colors into a palindrome.

In the second test case, after doing one operation, changing (8,1,9,3) to (7,0,8,6), one of those possible palindromes may be "rrrwwwbbbbrbbbbwwwrrr".

A palindrome is a word, phrase, or sequence that reads the same backwards as forwards. For example, "rggbwbggr", "b", "gg" are palindromes while "rgbb", "gbbgr" are not. Notice that an empty word, phrase, or sequence is palindrome.

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Solution {

	public static void main(String args[]) throws IOException { // BufferedReader
		// br = new BufferedReader(new FileReader("c://tmp//in.txt"));d
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int t = r_i(br);
		while (t > 0) {
			int a[] = r_i_a(br);
			int no = 0;
			if (a[0] % 2 != 0) {
				no++;
			}
			if (a[1] % 2 != 0) {
				no++;
			}
			if (a[2] % 2 != 0) {
				no++;
			}

			if (no > 0) {
				if (no == 2) {
					if (a[3] % 2 != 0 && a[0] > 0 && a[1] > 0 && a[2] > 0) {
						pr_o_nl("YES");
					} else {
						pr_o_nl("NO");
					}
				} else if (no == 3) {
					pr_o_nl("YES");
				} else {
					if (a[3] % 2 == 0) {
						pr_o_nl("YES");
					} else {
						pr_o_nl("NO");
					}
				}
			} else {
				pr_o_nl("YES");
			}

			t--;
		}

	}

	public static void print(int[][] m) {
		for (int i = 0; i < m.length; i++) {
			for (int j = 0; j < m[0].length; j++) {
				pr_o(m[i][j] + " ");
			}
			pr_nl();
		}
		pr_nl();
	}

	public static void print(boolean[][] m) {
		for (int i = 0; i < m.length; i++) {
			for (int j = 0; j < m[0].length; j++) {
				pr_o(m[i][j] + " ");
			}
			pr_nl();
		}
		pr_nl();
	}

	public static void pr_o(Object s) {
		System.out.print(s);
	}

	public static void pr_o_nl(Object s) {
		System.out.print(s);
		pr_nl();
	}

	public static void pr_nl() {
		System.out.println();
	}

	public static int prs_s_i(String s) {
		return Integer.parseInt(s);
	}

	public static Long prs_s_l(String s) {
		return Long.parseLong(s);
	}

	public static int r_i(BufferedReader br) throws IOException {
		return prs_s_i(br.readLine());
	}

	public static long r_l(BufferedReader br) throws IOException {
		return prs_s_l(br.readLine());
	}

	public static String r_s(BufferedReader br) throws IOException {
		return br.readLine();
	}

	public static String[] r_s_a(BufferedReader br) throws IOException {
		return br.readLine().split(" ");
	}

	public static String[] r_s_a(BufferedReader br, String s) throws IOException {
		return br.readLine().split(s);
	}

	public static int[] r_i_a(BufferedReader br) throws IOException {
		String s[] = r_s_a(br);
		int a[] = new int[s.length];
		for (int i = 0; i < s.length; i++) {
			a[i] = prs_s_i(s[i]);
		}
		return a;
	}

	public static long[] r_l_a(BufferedReader br) throws IOException {
		String s[] = r_s_a(br);
		long a[] = new long[s.length];
		for (int i = 0; i < s.length; i++) {
			a[i] = prs_s_l(s[i]);
		}
		return a;
	}

	public static int[] r_i_a(BufferedReader br, String split) throws IOException {
		String s[] = r_s_a(br, split);
		int a[] = new int[s.length];
		for (int i = 0; i < s.length; i++) {
			a[i] = prs_s_i(s[i]);
		}
		return a;
	}

	public static int[][] r_s_a_i(BufferedReader br, int a[][], int i) throws IOException {
		String s1[] = r_s_a(br);
		for (int j = 0; j < s1.length; j++) {
			a[i][j] = prs_s_i(s1[j]);
		}
		return a;
	}

	public static int[][] r_s_a_r_w_o_s(BufferedReader br, int a[][], int r) throws IOException {
		for (int i = 0; i < r; i++) {
			String s = r_s(br);
			for (int j = 0; j < r; j++) {
				if (s.charAt(j) == '.') {
					a[i][j] = 0;
				} else {
					a[i][j] = Integer.parseInt("" + s.charAt(j));
				}
			}
		}
		return a;
	}

	public static int[][] r_s_a_r(BufferedReader br, int a[][], int r) throws IOException {
		for (int i = 0; i < r; i++) {
			a = r_s_a_i(br, a, i);
		}
		return a;
	}

	public static Integer maxx(Integer... x) {
		int max = 0;
		for (Integer a : x) {
			max = Math.max(a, max);
		}
		return max;
	}

	public static Integer minn(Integer... x) {
		int min = Integer.MAX_VALUE;
		for (Integer a : x) {
			min = Math.min(a, min);
		}
		return min;
	}

	public static Long maxx(Long... x) {
		long max = 0;
		for (Long a : x) {
			max = Math.max(a, max);
		}
		return max;
	}

}